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Oksi-84 [34.3K]

2 years ago

10

25 points!! Which table shows 4 points on the line that passes through the point (–1,5) and has the same slope as the line 2x+3y

=6?

1 answer:

mylen [45]2 years ago

5 0

It is the third one hope this helped

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Ignore the stuff around it ,could someone explain me this?

Ierofanga [76]

Answer:

The lines blue and green are perpendicular

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

step 1

Find the slope of the blue line

we have the points

(-1,-3) and (0,3)

substitute

$m=\frac{3+3}{0+1}$

$m=\frac{6}{1}=6$

step 2

Find the slope of the red line

we have the points

(3,-3) and (4,2)

substitute

$m=\frac{2+3}{4-3}$

$m=\frac{5}{1}=5$

step 3

Find the slope of the green line

we have the points

(-4,-1) and (2,-2)

substitute

$m=\frac{-2+1}{2+4}$

$m=-\frac{1}{6}$

step 4

Compare the slopes

Blue line ----> $m=6$

Red line ----. $m=5$

Green line ---> $m=-\frac{1}{6}$

so

The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)

therefore

The lines blue and green are perpendicular

7 0

3 years ago

A mother invests $7000 in a bank account at the time of her daughter's birth. The interest is 18) compounded quarterly at a rate

Alex

well, from birth to your twentieth birthday that'll just be 20 years, so

$~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07$

5 0

1 year ago

What is another way to write the expression t. (14--5) ?

melomori [17]

Answer: Second option.

Step-by-step explanation:

It is important to remember the Distributive Property in order to solve this exercise.

The Distributive property states that:

$a(b+c)=ab+ac\\\\\\a(b-c)=ab-ac$

In this case you have the following expression provided in the exercise:

$t(14-5)$

Then, in order to write this expression in another way, you can apply the Distributive property. Multiply each number inside the parentheses by "t".

Applying this procedure, you get:

$t(14-5)=(t14)-(t5)$

Notice that this expression matches with the one shown in the the second option.

8 0

2 years ago

WILL GIVE BRAINLIEST ANSWER TO WHOEVER ANSWERS FIRST AND CORRECTLY EXPLAIN WHY YOURE CORRECT

alexandr1967 [171]

I think it’s A but i could be wrong

3 0

2 years ago

Read 2 more answers

What is the decimal expansion of the following fraction?

pickupchik [31]

You haven't shared a fraction. Please do that next time.

I checked and have found that 0.045 repeating over the 4 and 5 is equivalent to 1/22. Try dividing 1 by 22 to verify this.

So I infer that the fraction you haven't yet shared is 1/22.

5 0

2 years ago